(a) Use a graphing utility to graph f(x) = ln(x) and f(x − c) = ln(x − c) for c = −3, −2, 1, and 5 on the same axes.(b) For each c-value, identify the vertical asymptote and the domain of y = ln(x − c). (Enter the answer for the vertical asymptote as a mathematical equation. Enter the answer for the domain using interval notation.)c = −3vertical asymptote = ?domain = ? c = −2vertical asymptote = ?domain = ? c = 1vertical asymptote = ?domain = ? c = 5vertical asymptote = ?domain = ? (c) For each c-value, find the x-intercept of y = ln(x − c).c = −3x = ?c = −2x = ?c = 1x = ?c = 5x = ?(d)Write a sentence that explains precisely how the graphs of y = f(x) and y = f(x − c) are related. (Multiple Choice)A. The graph of f(x − c) is the graph of f(x) stretched by c units on the x-axis.B. The graph of f(x − c) is the graph of f(x) shifted c units on the x-axis.C. The graph of f(x − c) is the same as the graph of f(x).D. The graph of f(x − c) is the graph of f(x) stretched by c units on the y-axis.E. The graph of f(x − c) is the graph of f(x) shifted c units on the y-axis.

Answered: Image /qna-images/answer/e9acb4d5-2d5b-4fc7-866a-9c1d98948f52.jpg

Answered: a) Use a graphing utility to graph f(x)…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Question

(a) Use a graphing utility to graph f(x) = ln(x) and f(x − c) = ln(x − c) for c = −3, −2, 1, and 5 on the same axes.

(b) For each c-value, identify the vertical asymptote and the domain of

y = ln(x − c). (Enter the answer for the vertical asymptote as a mathematical equation. Enter the answer for the domain using interval notation.)

c = −3

vertical asymptote = ?
domain = ?

c = −2

vertical asymptote = ?
domain = ?

c = 1

vertical asymptote = ?
domain = ?

c = 5

vertical asymptote = ?
domain = ?

c = −3

x = ?

c = −2

x = ?

c = 1

x = ?

c = 5

x = ?

(d)

Write a sentence that explains precisely how the graphs of

y = f(x) and y = f(x − c) are related. (Multiple Choice)

A. The graph of f(x − c) is the graph of f(x) stretched by c units on the x-axis.
B. The graph of f(x − c) is the graph of f(x) shifted c units on the x-axis.
C. The graph of f(x − c) is the same as the graph of f(x).
D. The graph of f(x − c) is the graph of f(x) stretched by c units on the y-axis.
E. The graph of f(x − c) is the graph of f(x) shifted c units on the y-axis.

Expert Solution